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Finding the Third Proportional to 47,293.13 and 98,966.63

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Solution

The third proportional to 47,293.13 and 98,966.63 is: 207,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,293.13 : 98,966.63 = 98,966.63 : x
  2. Step 2: Convert to fraction form
    47,293.13/98,966.63 = 98,966.63/x
  3. Step 3: Cross multiply
    47,293.13x = 98,966.63 × 98,966.63
  4. Step 4: Simplify right side
    47,293.13x = 9,794,392,863.89
  5. Step 5: Solve for x
    x = 9,794,392,863.89/47,293.13
  6. Step 6: Final answer
    x = 207,099.72

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.